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Physics
One mole of a diatomic ideal gas (= 1.4) is taken through a cyclic process starting from point A. The process A B is an adiabatic compression, B C is isobaric expansion, C D is an adiabatic expansion, and D A is isochoric. The volume ratios are V_A/ V_B = 16 and V_C/ V_B = 2 and the temperature at A is T_A = 300 K. Calculate the temperature of the gas at the points B and D and the efficiency of the cycle.
Chemistry
A first order reaction is 20% complete in 10 minutes. Calculate (i) the specific rate constant of the reaction, and (ii) the time taken for the reaction to go to 75% completion.
Mathematics
In what ratio does the x-axis divide the area of the region bounded by the parabolas y = 4x - x² and y = x² - x?